Find each key feature of the function shown in the graph. Enter all intervals using interval notation. Enter the x-intercepts as values of x only.

range=
domain=
x-intercepts=
average rate of change over the interval [0,2]=
the right-most interval where the graph is positive=

Find Each Key Feature Of The Function Shown In The Graph. Enter All Intervals Using Interval Notation.

Answers

Answer 1

Answer:

Step-by-step explanation:

Range of the function is the set of y-values (output values) of the function on the graph.

Domain of the function is the set of x-values (input values) of the function.

Domain of the function : [-5, 4)

(including x = -5 and excluding x = 4)

Range : [-4, 2)

(Including y = -4 and excluding y = 2)

x - intercepts : x = -5, -2, 2

Average rate of change over the interval [0, 2]

= [tex]\frac{f(2)-f(0)}{2-0}[/tex]

= [tex]\frac{0-(-4)}{2-0}[/tex] [Since, f(2) = 0, f(0) = -4]

= 2

Right most interval where the graph is positive → [2, 4]

Answer 2

The key feature of a function include the intercepts and intervals of the function

The range is [-4,2)The domain is [-5,4)The x-intercepts are -2 and 2The average rate of change over the interval [0,2] is 2The right-most interval where the graph is positive is [2,4]

(a) The range

The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.

So, the range is:

[tex]\mathbf{Range = [-4,2)}[/tex]

(b) The domain

The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.

So, the domain is:

[tex]\mathbf{Domain = [-5,4)}[/tex]

(c) The x-intercepts

This is the point where the graph crosses the x-axis.

So, we have:

[tex]\mathbf{x-intercept =-2 \ and\ 2}[/tex]

(d) Average rate of change over [0,2]

From the graph, we have:

f(0) = -4

f(2) = 0

So, the average rate of change (m) is:

[tex]\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{0 - -4}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{4}{2}}[/tex]

[tex]\mathbf{m =2}[/tex]

(d) The right-most interval where the graph is positive

The graph is positive from x = 2 to x = 4.

Hence, the right-most interval where the graph is positive is [2,4]

Read more about features of a function at:

https://brainly.com/question/17343786


Related Questions

write the first 4 terms of the arithmetic sequence With first term 37 and common difference 9

Answers

Answers:

first term = 37

second term = 46

third term = 55

fourth term = 64

==========================================

Explanation:

Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.

first term = 37

second term = 37+9 = 46

third term = 46+9 = 55

fourth term = 55+9 = 64

-----------

The nth term formula is

a(n) = 9n+28

It can be found by plugging a = 37 and d = 9 into the general form

a(n) = a + d*(n-1)

The  four terms of the arithmetic sequence with a first term of 37 and a common difference of 9 are: 37, 46, 55, and 64.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant.

Given:

First term (a1) = 37

Common difference (d) = 9

The arithmetic sequence can be represented as follows:

[tex]a_1[/tex]= 37

[tex]a_2[/tex] = [tex]a_1[/tex] + d

    = 37 + 9 = 46

[tex]a_3[/tex] = [tex]a_2[/tex] + d

   = 46 + 9 = 55

[tex]a_4[/tex] = [tex]a_3[/tex]+ d

   = 55 + 9 = 64

So, the first four terms of the arithmetic sequence are: 37, 46, 55, and 64.

Learn more about arithmetic sequence here:

https://brainly.com/question/15412619

#SPJ3

Help please you will get 20 points

Answers

Answer:

Part B:

His measure is incorrect because the interior angles of every triangle result up to 180°. His measures (50+90+38) added up to 178; so his measures are false.

Help please !! I need to find x

Answers

Answer:

6

Step-by-step explanation:

12x + 3 = 11x + 9 because these two angles are corresponding angles

12x - 11x = 9 - 3

x = 6

What is the zero of the function that is graphed below?

Answers

Answer:

a which is -2

Step-by-step explanation:

that's the answer

Fill in the blanks from the attachment.

Answers

Answer: why was 8 scard of 7

Step-by-step explanation: becues

789

y = 4(x - 2)(x + 6)
what is this factored out

Answers

y=4x^2+16x-48

Start with factoring (x-2)(x+6) using distribution
Then multiply it by 4

Multiply.

3⋅3/5

Enter your answer as an improper fraction, in simplified form, by filling in the boxes.

Answers

Answer:

9/5

Step-by-step explanation:

3/1 x 3/5 = 9/5

:HOPE  THIS HELPS

Simplify the expression.

Exact Form:

9

_                   9 over 5

5

Decimal Form:

1.8

Mixed Number Form:

1  4/5

HELP ASAP 15 POINTS

Look i know this isnt mathematics but its an easy 15 points if your good a rhyming or if you just know the basics.

I need a rap or song about the six main nutrients (water, protein, carbohydrates, fats, minerals, and vitamins)

Answers

Answer:

I hope this helps

Step-by-step explanation:

carbonhydrates protein water fats minerals and vitamins

Describe the relationship between integers and rational numbers.

Answers

Answer:

Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

Step-by-step explanation:

Hope this helped mark me as brainliest (:

Answer: Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers

Step-by-step explanation:

Convert 4 to a percent.

Answers

Well, 100% = 1, 400% = 4.

Step-by-step explanation:

0.04 is ur answer ..........

Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua deposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks?

Answers

Joshua deposited

(a). $12.85 in coins

(b). $77.14 in checks

Linear equation in one variable?

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth six times the value of the coins he deposited.

Let Joshua deposit the value of coins be x. Then the value of x will be 6x

There is total deposit of $90.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ [tex]x = \frac{90}{7}[/tex] =$12.85

Therefore,

[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14

Hence, he deposit total $12.85 in coins and $77.14 in checks.

Learn more about linear equation here:

https://brainly.com/question/11897796

#SPJ2

Quadratic formula
x2 + 3x - 5 = 0

Answers

Answer:

2x +3x- 5= 0

5x-5=0

5x=0+5

5x=5

x=5÷5

x=1

Where’s my smart friends??

I had $3.00.
My Mom gave me $10.00.
My Dad Gave me $30.00.
My Aunt & Uncle gave me $100.00.
I had another $7.00.
How much did I have?

Answers

Answer:

$10 Its asking how much you had not how much was given to you. So the answer is you had 10

I have $150

In order to determine the amount you have, add the amounts you are given to the original amount. This is because the money you have increases by the amounts you are given

Total sum of money = amount you have + amount given by mum +  amount given by dad +  amount given by uncle and aunt

$3 + $10 + $30 + $100 + $7 = $150

A similar question was solved here: https://brainly.com/question/24101822?referrer=searchResults

Write the equivalent fraction with a denominator of 100.
9/10 = ?/100.

Answers

Answer:

90

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator (bottom number of the fraction), you must also multiply to the numerator (top number of the fraction).

In this case, you are multiply 10 to both the numerator and denominator, as:

100/10 =10

Multiply 10 to the numerator:

? = 9 * 10

? = 90

90 is your answer.

~

Since the fractions are equivalent to each other, they must have the same simplified value. It means they can be multiple or divisor of each other.

Here, we have to find the numerator of the second fraction for which we have to multiply with the same number with which we multiplied the denominator.

➝ 10 × 10 = 100

The denominator was multiplied with 10, So the numerator will be multiplied with 10 too.

➝ 9 × 10 = 90

➝ [tex] \dfrac{9 \times 10}{10 \times 10} = \dfrac{90}{100} [/tex]

Thus, the required numerator is 90

Carry On Learning !

Find the value of x
X + 90
100°

Answers

10 is the answer sorry don’t know how to explain jus trust me

How man ten thousand are in 440000

Answers

44 ten thousands because 44x10000= 440000

the cost of old boiler is £775 per year,the new one is £1850 ,the cost of using a new boiler will be 1/5 less than the cost of using the opd boiler. how many years will it take for the savings feom cost of using nthe new boiler to total £1850​

Answers

Answer:

I think its 12.3 years

Step-by-step explanation:

a fifth of 775 is 155 and 155 x 12.3 = 1850

|4x-1|=2x+13
what does x equal

Answers

The variable x equals x=7

Answer:

2x+13=4x-1

2x=14

x=7

another solution

2x+13=-(4x-1)

2x+13 =-4x+1

6x=-12

x =-2

so solutions are 7,-2

Anyone, can help me with this question?

25)

Answers

9514 1404 393

Answer:

  A)  Positive (4, 2, 0), negative (0)

Step-by-step explanation:

Descartes' rule of signs tells you the number of positive real roots is equal to the number of sign changes in the coefficients (with allowance for an even number of roots possibly being complex).

The signs of the coefficients are ...

  - + - + -

so there are 4 sign changes. The number of positive real roots will be 4, 2, or 0.

__

Changing the signs of odd-degree terms, you can use the same method to determine the number of negative real roots. With those signs changed, the signs of the coefficients are ...

  - - - - -

so there are 0 sign changes. The number of negative real roots is 0.

_____

The graph shows there are no real roots of either sign. All the roots are complex.

mr peters drives 266 miles in 3.5 hours what is the rate mr peters travels

Answers

Answer:

The answer is 76

Step-by-step explanation:

I just divided 266 by 3.5  - *I used a calculator*

1. Five more than twice a number is 7.

Answers

Answer:

5+2n=7

Step-by-step explanation:

5+2n=7

7-5=2n

2=2n

2÷2=1

n=1

Let’s say the number is “n”

First it’s telling u twice a number meaning the number is going to multiply by 2 so

2 X n (X means multiplication) or 2n

Then it states five more than which means to add 5 to what follows so

2n + 5

It’s saying it’s 7 so

2n+5=7
2n= 7-5
2n=2
2n/2=2/2
N=1

The final answer is 1 meaning the number is 1

find the value of x

Answers

Answer:

[tex] \frac{28}{3x - 1} = \frac{24}{x + 7 } \\ 24(3x - 1) = 28(x + 7) \\ 72x - 24 = 28x + 196 \\ 72x - 28x = 24 + 196 \\ 44x = 220 \\ x = 5[/tex]

Write the following using algebraic notation, using the letter x for any
unknown numbers:
I think of a number, add seven, then divide by five.

Answers

Answer:

(x+7)÷5

Step-by-step explanation:

since the number is unknown, it becomes X. Because we first add 7 then divide by 5, the expression will be a bracketed (X+7), followed by the division by 5. This makes sense because of the BODMAS rule to which, in coherence with the BODMAS rule, we first solve the expression in the brackets then move on outside them.

What is 22.5 subtract by 2.5

Answers

Answer:

The answer is 20 hope this helps

Step-by-step explanation:

22.5 divided by 2.5 = 20

Please help me out fast.

Answers

your answer 17 is correct

Find the interest on the following loan.
$5350 at 9%; loan made on August 15 and due December 18
The simple interest for this loan is $
(Round to the nearest cent as needed.)

Answers

Answer     for 2020:  loan maturity in days 125

                                   Actual Interest is $164.90

Step-by-step explanation:

loan x Interest x Time (in days =Total interest

the simple interest on the loan is approximately $161.28.

To calculate the interest on the loan, we need to determine the time period in years and multiply it by the principal amount and the interest rate.

The loan period runs from August 15 to December 18, which is a total of 4 months. To convert this into years, we divide 4 by 12 (since there are 12 months in a year), resulting in 1/3 or approximately 0.3333 years.

The principal amount is $5350, and the interest rate is 9% or 0.09 as a decimal.

Using the formula for simple interest: Interest = Principal x Rate x Time

Interest = $5350 x 0.09 x 0.3333 ≈ $161.28

Therefore, the simple interest on the loan is approximately $161.28.

Learn more about interest here

https://brainly.com/question/28709837

#SPJ2

What is the slope of the linear equation Y-5=3/7(x+2)

Answers

Answer:

[tex]y=\frac{3}{7} x+\frac{41}{7}[/tex]

Slope is 3/7

Step-by-step explanation:

y-5+5=3/7x+6/7+5

y=3/7x+41/7

Susie filled up at the gas station where it costs $3.14 per gallon. She put 22.5 gallons of gas in her vehicle. She also bought a fountain drink for $0.99. How much did she spend at the gas station?
A. $66.00
B. $70.65
C. $71.64
D. $141.30

Answers

the answer is 71.64

you multiply the price per gallon times the total amount of gallons put in her car then add the fountain drink

Which numbers have been rounded correctly to the nearest ten thousand? Choose a the correct answers.
A. 13,500 ➡️ 10,000
B. 78, 210 ➡️ 78,000
C. 620,499 ➡️ 600,000
D. 456,234 ➡️ 460,000
E. 129,302 ➡️ 129,000
F. 324,985 ➡️ 320,000

Answers

D is the answer ten thousands is 5 digits over

What is 7 7//8 + 2 1/4=

Answers

Answer:

14.875

Step-by-step explanation:

77/8 = 9.625 and 21/4 = 5.25

So, 9.625+5.25 =14.875

Answer: 10  1/8

............................

Other Questions
They are wrong, it's actually 19683 pennies. 18 percent of 68 is what what the sqaure root of 75 Vector B~ has x, y, and z components of 7.1,8.2, and 8.4 units, respectively.Calculate the magnitude of B~ .Can someone please help me? the flag representing the independent republic of fredonia has two parallel bars red and white symbolizing an alliance between the native Americans and the anglo settlers true or false? Enumere las razoner por las que vamos a la escuela HELP ASAP JUST NEED THE ANSWER PLEASE T(X,Y)_____ Name a line segment parallel to RS How many joules would be absorbed for the water in Problem 1 Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning A locomotive engine pulls a train with a constant force comment on whether its acceleration will increase or decrease if more coaches are added to the train What is the value of 30 minus 2 (7 + 2) minus 1? A.11B. 14C. 17D. 19 Aristteles concibe la tica de forma eude-monista, es decir, todas las acciones humanas estn guiadas por el deseo de conseguir la felicidad, as, las instituciones humanas como la poltica, la religin, el arte y la ciencia, tienen como fin ltimo la felicidad de los seres humanos. Con esto, Aristteles se aparta de las concepciones que argumentan que el fin de las acciones humanas es el placer que proporcionan los sentidos. Segn l, la bsqueda de la felicidad es ms importante que la bsqueda del placer, porque What is the slope of the line on the graph?Enter your answer in the box. Why was cuneiform important? Choose three answers.It was used for recordkeeping.It was the first system of math.It was one of the first writing systems.It helped Sumerians grow a surplus of crops.It helped archeologists understand Sumerian society. Which point-slope equation represents a line that passes through (3, 2) with a slope of negative StartFraction 4 Over 5 EndFraction? Which of the following is a not component of lipids?carbon chainsnucleotides fatty acidsglycerol what do we find along chile's easta) the Andes mountainsb) wineriesc) the Pacific Oceand) moai statues What is the image point of (1,0)(1,0) after a translation right 1 unit and up 4 units? 1/ (12b + 5) for b = 5/6